Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group
Journal Home About Issues in Progress Current Issue All Issues Feature Issues

Exact radiation trapping force calculation based on vectorial diffraction theory

Djenan Ganic, Xiaosong Gan, and Min Gu

Open Access Open Access

Abstract

There has been an interest to understand the trapping performance produced by a laser beam with a complex wavefront structure because the current methods for calculating trapping force ignore the effect of diffraction by a vectorial electromagnetic wave. In this letter, we present a method for determining radiation trapping force on a micro-particle, based on the vectorial diffraction theory and the Maxwell stress tensor approach. This exact method enables one to deal with not only complex apodization, phase, and polarization structures of trapping laser beams but also the effect of spherical aberration present in the trapping system.

©2004 Optical Society of America

Full Article  |  PDF Article
More Like This
Optical trapping force with annular and doughnut laser beams based on vectorial diffraction

Djenan Ganic, Xiaosong Gan, and Min Gu
Opt. Express 13(4) 1260-1265 (2005)

Calculation of the radiation trapping force for laser tweezers by use of generalized Lorenz-Mie theory. II. On-axis trapping force

James A. Lock
Appl. Opt. 43(12) 2545-2554 (2004)

Trapping force and optical lifting under focused evanescent wave illumination

Djenan Ganic, Xiaosong Gan, and Min Gu
Opt. Express 12(22) 5533-5538 (2004)

View More...

Cited By

Optica participates in Crossref's Cited-By Linking service. Citing articles from Optica Publishing Group journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)
Fig. 1.
Fig. 1. (a) Schematic of our model. Intensity distribution in (b) axial and (c) transversal directions (blue-X axis, red-Y axis) for the fifth-order Gaussian approximation (dashed line) and the vectorial diffraction theory (solid line).

Download Full Size | PDF

Fig. 2.
Fig. 2. (a) Comparison between the fifth-order Gaussian approximation (empty symbols) and the vectorial diffraction theory (filled symbols) for the calculation of maximal TTE (triangles) and backward ATE (circles) of polystyrene particles suspended in water. λ0=1.064 µm, ω0=0.4 µm and NA=1.2. (b) Maximal backward ATE of glass particles suspended in water, illuminated by a laser beam (λ0=1.064 µm), focused by an oil immersion microscope objective (NA=1.3). The effect of SA is considered at a depth of 9 µm from the cover glass

Download Full Size | PDF

Fig. 3.
Fig. 3. Maximal backward ATE and TTE of a particle illuminated by a laser (λ0=1.064 µm) focused by an oil immersion microscope objective (NA=1.3) as a function of the distance from the cover glass. (a) A glass particle of diameter D=2.7 µm in water. (b) A polystyrene particle of diameter D=1.02 µm suspended in 60 % glycerol solution.

Download Full Size | PDF

Fig. 4.
Fig. 4. Magnitude and direction of the trapping efficiency for various geometrical focus positions around a polystyrene particle suspended in water and illuminated by a λ0=1.064 µm laser focused by a NA=1.25 water immersion objective. (a) particle radius of 2 µm. (b) Particle radius of 200 nm.

Download Full Size | PDF

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

E 2 ( r p , − d ) = − i k 1 2 π ∬ Ω 1 c ( ϕ 1 , ϕ 2 , θ ) exp { i k 0 [ r p κ + Ψ ( ϕ 1 , ϕ 2 , − d ) ] } sin ϕ 1 d ϕ 1 d θ
H 2 ( r p , − d ) = − i k 1 2 π ∬ Ω 1 d ( ϕ 1 , ϕ 2 , θ ) exp { i k 0 [ r p κ + Ψ ( ϕ 1 , ϕ 2 , − d ) ] } sin ϕ 1 d ϕ 1 d θ .
〈 F 〉 = 1 4 π ∫ 0 2 π ∫ 0 π 〈 ( ε 2 E r E + H r H − 1 2 ( ε 2 E 2 + H 2 ) r ̂ ) 〉 r 2 sin ϕ d ϕ d θ ,
Select as filters
Select Topics Cancel
Top
       
© Copyright 2024 | Optica Publishing Group. All rights reserved, including rights for text and data mining and training of artificial technologies or similar technologies.
Privacy | Terms of Use